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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 919 · 40 questions
TalentJR

How to solve it (Think in totals): Average = total ÷ how many; so total = average × how many. A number taken away = old total − new total. Evenly spaced numbers (like 10 to 20): average = (first + last) ÷ 2.

NameDateTime takenScore ___ / 40
  1. 1.A batter has an average of 39 runs in 7 matches. How many runs are needed in the next match to raise the average to 42? (a) 45 (b) 24 (c) 42 (d) 63
  2. 2.What is the average of all the whole numbers from 9 to 19? (a) 14 (b) 10 (c) 5 (d) 15
  3. 3.The average of 5 numbers is 31. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 20 (b) 31 (c) 58 (d) 47
  4. 4.What is the average of all the whole numbers from 28 to 34? (a) 31 (b) 6 (c) 3 (d) 32
  5. 5.The average of 6 numbers is 45. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 45 (b) 91 (c) 40 (d) 41
  6. 6.What is the average of 66, 41, 46, 41 and 81? (a) 56 (b) 54 (c) 55 (d) 57
  7. 7.The average of 5 numbers is 31. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 67 (b) 11 (c) 31 (d) 12
  8. 8.The average of 8 numbers is 41. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 69 (b) 32 (c) 78 (d) 41
  9. 9.The average of 5 numbers is 43. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 43 (b) 36 (c) 88 (d) 35
  10. 10.The average of 5 numbers is 48. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 45 (b) 48 (c) 97 (d) 44
  11. 11.What is the average of all the whole numbers from 11 to 19? (a) 15 (b) 4 (c) 16 (d) 8
  12. 12.The average of 6 numbers is 23. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 23 (b) 43 (c) 42 (d) 24
  13. 13.What is the average of 26, 30, 38, 24 and 77? (a) 39 (b) 38 (c) 40 (d) 41
  14. 14.The average of 7 numbers is 18. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 18 (b) 36 (c) 21 (d) 33
  15. 15.What is the average of 65, 57, 60, 55, 50 and 37? (a) 55 (b) 56 (c) 54 (d) 53
  16. 16.The average of 6 numbers is 22. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 13 (b) 12 (c) 22 (d) 46
  17. 17.The average of 7 numbers is 48. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 91 (b) 48 (c) 35 (d) 78
  18. 18.A batter has an average of 52 runs in 6 matches. How many runs are needed in the next match to raise the average to 55? (a) 58 (b) 55 (c) 73 (d) 21
  19. 19.What is the average of 30, 39, 51, 40 and 40? (a) 50 (b) 39 (c) 41 (d) 40
  20. 20.The average of 5 numbers is 18. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 33 (b) 30 (c) 18 (d) 15
  21. 21.What is the average of all the whole numbers from 13 to 39? (a) 26 (b) 27 (c) 25 (d) 13
  22. 22.The average of 8 numbers is 49. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 49 (b) 29 (c) 101 (d) 28
  23. 23.What is the average of 44, 43, 34, 37, 34 and 54? (a) 41 (b) 40 (c) 43 (d) 42
  24. 24.What is the average of 19, 17, 15, 35 and 64? (a) 29 (b) 31 (c) 32 (d) 30
  25. 25.A batter has an average of 59 runs in 4 matches. How many runs are needed in the next match to raise the average to 66? (a) 35 (b) 66 (c) 94 (d) 73
  26. 26.The average of 8 numbers is 26. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 20 (b) 19 (c) 26 (d) 53
  27. 27.What is the average of 62, 82, 87, 68 and 71? (a) 76 (b) 73 (c) 74 (d) 75
  28. 28.A batter has an average of 60 runs in 7 matches. How many runs are needed in the next match to raise the average to 68? (a) 76 (b) 64 (c) 124 (d) 68
  29. 29.What is the average of all the whole numbers from 22 to 54? (a) 32 (b) 38 (c) 16 (d) 39
  30. 30.The average of 8 numbers is 42. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 8 (b) 42 (c) 83 (d) 49
  31. 31.What is the average of 77, 79, 81, 63 and 35? (a) 69 (b) 68 (c) 66 (d) 67
  32. 32.What is the average of 40, 46, 21, 18, 19 and 54? (a) 33 (b) 35 (c) 34 (d) 32
  33. 33.What is the average of 56, 66, 55 and 75? (a) 63 (b) 62 (c) 64 (d) 84
  34. 34.What is the average of all the whole numbers from 39 to 65? (a) 26 (b) 53 (c) 52 (d) 13
  35. 35.What is the average of all the whole numbers from 26 to 62? (a) 45 (b) 36 (c) 18 (d) 44
  36. 36.The average of 8 numbers is 36. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 69 (b) 24 (c) 36 (d) 57
  37. 37.A batter has an average of 54 runs in 9 matches. How many runs are needed in the next match to raise the average to 58? (a) 58 (b) 40 (c) 62 (d) 94
  38. 38.What is the average of all the whole numbers from 60 to 78? (a) 70 (b) 9 (c) 69 (d) 18
  39. 39.A batter has an average of 23 runs in 6 matches. How many runs are needed in the next match to raise the average to 31? (a) 56 (b) 39 (c) 79 (d) 31
  40. 40.What is the average of all the whole numbers from 20 to 36? (a) 29 (b) 8 (c) 28 (d) 16

Answer key

  1. 63
  2. 14
  3. 47
  4. 31
  5. 40
  6. 55
  7. 11
  8. 69
  9. 35
  10. 44
  11. 15
  12. 43
  13. 39
  14. 36
  15. 54
  16. 12
  17. 78
  18. 73
  19. 40
  20. 30
  21. 26
  22. 28
  23. 41
  24. 30
  25. 94
  26. 19
  27. 74
  28. 124
  29. 38
  30. 49
  31. 67
  32. 33
  33. 63
  34. 52
  35. 44
  36. 57
  37. 94
  38. 69
  39. 79
  40. 28

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